HELPPP 40 POINTS+ BRAINLIEST IF INSTRUCTIONS ARE FOLLOWED

Eva has borrowed 200 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:

A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 280 at increments of 40. A straight line joins the ordered pairs 0, 200 and 1, 160 and 2, 120 and 3, 80 and 4, 40 and 5, 0.

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work in words to find the rate of change and initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)

Part A:

The rate of change/slope is -40, which on the graph represents 40 downloaded songs per week. We can determine the rate of change by doing rise/run. The rise is the change in y while the run is the change in x. The change in y is 40 as 200-160=40. The change in x is -1 as 0-1=-1.

Rise/Run=40/-1=-40

Part B:

An equation that would satisfy the graph is:

y=-40x+200

This works because we already know the slope is -40, and the y-intercept is labelled for us as 200, so we're done.

The rate of change( the slope) is -40. This means that each week, she has 40 less songs to download. I know this because we start at 200 songs( Initial value). then in one week we jump to 160 songs left. 200 - 160 = 40. 40 is a negative because we are decreasing the amount.

An equation that would be appropriate for this scenario would be

y=-40x+200

I know this equation would work because 40 is the slope and 200 was already identified as the y intercept.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)